Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Ginster, Janusz"'
A scheme for generating weakly lower semi-continuous action functionals corresponding to the Euler-Lagrange equations of Chern-Simons theory is described. Coercivity is deduced for such a functional in appropriate function spaces to prove the existen
Externí odkaz:
http://arxiv.org/abs/2411.17635
We consider a one-dimensional version of a variational model for pattern formation in biological membranes. The driving term in the energy is a coupling between the order parameter and the local curvature of the membrane. We derive scaling laws for t
Externí odkaz:
http://arxiv.org/abs/2409.16134
We study pattern formation within the $J_1$-$J_3$ - spin model on a two-dimensional square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin field. We derive the discrete-to-continuum $\Gamma$-limit at the helimagnet
Externí odkaz:
http://arxiv.org/abs/2406.08339
We study scaling laws for singular perturbation problems associated with a class of two-dimensional martensitic phase transformations and deduce a domain dependence of the scaling law in the singular perturbation parameter. In these settings the resp
Externí odkaz:
http://arxiv.org/abs/2405.05927
A static variational model for shape formation in heteroepitaxial crystal growth is considered. The energy functional takes into account surface energy, elastic misfit-energy and nucleation energy of dislocations. A scaling law for the infimal energy
Externí odkaz:
http://arxiv.org/abs/2403.13646
A technique for developing convex dual variational principles for the governing PDE of nonlinear elastostatics and elastodynamics is presented. This allows the definition of notions of a variational dual solution and a dual solution corresponding to
Externí odkaz:
http://arxiv.org/abs/2401.08538
Autor:
Ginster, Janusz, Gladbach, Peter
We show that functions in $GSBV^p$ in three-dimensional space with small variation in $2$ of $3$ directions are close to a function of one variable outside an exceptional set. Bounds on the volume and the perimeter in these two directions of the exce
Externí odkaz:
http://arxiv.org/abs/2212.10199
Autor:
Gladbach, Peter, Ginster, Janusz
We show that the linear brittle Griffith energy on a thin rectangle $\Gamma$-converges after rescaling to the linear one-dimensional brittle Euler-Bernoulli beam energy. In contrast to the existing literature, we prove a corresponding sharp compactne
Externí odkaz:
http://arxiv.org/abs/2111.09706
Autor:
Acharya, Amit, Ginster, Janusz
It is a classical result that if $u \in C^2(\mathbb{R}^n;\mathbb{R}^n)$ and $\nabla u \in SO(n)$ it follows that $u$ is rigid. In this article this result is generalized to matrix fields with non-vanishing curl. It is shown that every matrix field $R
Externí odkaz:
http://arxiv.org/abs/2007.00331
It is shown that in core-radius cutoff regularized simplified elasticity (where the elastic energy depends quadratically on the full displacement gradient rather than its symmetrized version), the force on a dislocation curve by the negative gradient
Externí odkaz:
http://arxiv.org/abs/2003.07876